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Date: 19-9-2019
1642
Date: 25-7-2019
4546
Date: 3-9-2019
1653
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Let be differentiable on the open interval and continuous on the closed interval . Then there is at least one point in such that
The theorem can be generalized to Cauchy's mean-value theorem.
REFERENCES:
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 1097-1098, 2000.
Jeffreys, H. and Jeffreys, B. S. "Mean-Value Theorems." §1.13 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 49-50, 1988.
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